Stable fermionic-formula transpose duality conjecture

Let $R$ be a dominant sequence of rectangles, let $\lambda$ be a partition, and let $\diamondsuit$ denote one of the four stable families. Write $R^t$ and $\lambda^t$ for the transposed data, and let $\epsilon$ be the family-dependent parameter defined in the preceding conjecture. Stable transpose duality conjecture. The stable fermionic formulas satisfy

$$\overline{M}^{\diamondsuit}_{R;\lambda}(t)=t^{\epsilon(\lVert R\rVert+|R|-|\lambda|)}\overline{M}^{\diamondsuit^t}_{R^t,\lambda^t}(t^{-1}).$$

The source derives this as a consequence of the preceding conjecture together with a proposition on transposition, so its general validity is unresolved there.